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Correlations between spike trains can strongly modulate neuronal activity and affect the ability of neurons to encode information. Neurons integrate inputs from thousands of afferents. Similarly, a number of experimental techniques are designed to record pooled cell activity. We review and generalize a number of previous results that show how correlations(More)
Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the spatial separation between neurons. In the continuum limit we derive that stable, balanced firing rate solutions require(More)
We investigated the ability of the lymphokine, interleukin-4 (IL-4), to function as a neutrophil (PMN) activator. IL-4 enhanced PMN-mediated killing of opsonized bacteria (by up to 91.6% at 3 units of IL-4; p less than 0.05). IL-4 was a weak secondary granule secretagogue and did not by itself generate a respiratory burst. However, IL-4 did increase in a(More)
Depletion of synaptic neurotransmitter vesicles induces a form of short term depression in synapses throughout the nervous system. This plasticity affects how synapses filter presynaptic spike trains. The filtering properties of short term depression are often studied using a deterministic synapse model that predicts the mean synaptic response to a(More)
Recent anatomical and functional characterization of cortical inhibitory interneurons has highlighted the diverse computations supported by different subtypes of interneurons. However, most theoretical models of cortex do not feature multiple classes of interneurons and rather assume a single homogeneous population. We study the dynamics of recurrent(More)
The fact that the eigenvalues of the family of matrices A(t) do not determine the stability of non-autonomous differential equations x = A(t)x is well known. This point is often illustrated using examples in which the matrices A(t) have constant eigenvalues with negative real part, but the solutions of the corresponding differential equation grow in time.(More)